129 citations · 553 across the 62 of their papers we have counts for
4 papers · 1 filter
Extremal Metrics On Ruled Manifolds
Zhiqin Lu, Reza Seyyedali
In this paper, we consider a compact Kahler manifold with extremal Kahler metric and a Mumford stable holomorphic bundle over it. We proved that, if the holomorphic vector field de…
Szego kernels and Poincare series
Zhiqin Lu, Steve Zelditch
Let be a Kahler manifold, where is the universal Kahler cover, and where is the deck transformation group. Let be a positive Hermit…
Heat kernel estimates and the essential spectrum on weighted manifolds
Nelia Charalambous, Zhiqin Lu
We consider a complete noncompact smooth Riemannian manifold with a weighted measure and the associated drifting Laplacian. We demonstrate that whenever the -Bakry-Émery Ric…
Asymptotic expansion of the off-diagonal Bergman kernel on compact Kähler manifolds
Zhiqin Lu, Bernard Shiffman
We compute the first four coefficients of the asymptotic off-diagonal expansion of the Bergman kernel for the N-th power of a positive line bundle on a compact Kaehler manifold, an…